(5x-7)=(x+1)

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Solution for (5x-7)=(x+1) equation:


Simplifying
(5x + -7) = (x + 1)

Reorder the terms:
(-7 + 5x) = (x + 1)

Remove parenthesis around (-7 + 5x)
-7 + 5x = (x + 1)

Reorder the terms:
-7 + 5x = (1 + x)

Remove parenthesis around (1 + x)
-7 + 5x = 1 + x

Solving
-7 + 5x = 1 + x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-1x' to each side of the equation.
-7 + 5x + -1x = 1 + x + -1x

Combine like terms: 5x + -1x = 4x
-7 + 4x = 1 + x + -1x

Combine like terms: x + -1x = 0
-7 + 4x = 1 + 0
-7 + 4x = 1

Add '7' to each side of the equation.
-7 + 7 + 4x = 1 + 7

Combine like terms: -7 + 7 = 0
0 + 4x = 1 + 7
4x = 1 + 7

Combine like terms: 1 + 7 = 8
4x = 8

Divide each side by '4'.
x = 2

Simplifying
x = 2

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